Calculation of roof area

One of the most labor-intensive and materially expensive stages of any private construction is roof installation. Therefore, when drawing up an estimate, incorrect calculation of the roof area is unacceptable. In our article we will give advice on how to calculate the area of ​​a hipped roof, a more complex attic roof, or a very simple gable roof.

The easiest way is to calculate the area of ​​a pitched roof. To do this we need the width and length of the house. It is necessary to add the roof overhangs that are planned to be installed to the length of the house. All received numbers are multiplied to obtain the required value.

Calculation of the area of ​​a gable roof

This work will be a little more difficult. It is necessary to calculate each slope separately using the formula described above. And then add the resulting two values.

Calculation of the area of ​​a hipped roof

This work will require more complex calculations and should be carried out in the following steps:

Using a roof drawing, you need to break down all the complex elements of the roof into simple geometric shapes: squares, rectangles, trapezoids. Place each element in a separate drawing, naturally maintaining the dimensions.

Finally, all the values ​​are summed up and we get the exact area of ​​the complex roof.

The roof, along with the foundation and walls, is one of the main structural elements of the structure, providing protection to the interior of the building from precipitation, waterlogging, temperature changes, wind loads and other influences. At the same time, the roofing system is the most bulky, difficult-to-build structure in the house, since it consists of a huge number of individual components and connections. For most beginning craftsmen, construction turns into full test, which has no end in sight - it is necessary to draw up a project, carry out many calculations, draw diagrams, manufacture elements and, ultimately, assemble everything into a single structure.

Building online calculator roof calculation from the KALK.PRO service allows you to simplify the process of constructing a roof structure at the stage preparatory work, providing a detailed report with parameters individual elements And quantity of lumber for their manufacture, providing detailed drawings rafter system and lathing, as well as visualizing the resulting structure in the form 3D models for subsequent evaluation. In addition, our program takes into account all additional structural elements roofs, including Mauerlat, vapor barrier, insulation, counter-lattice, OSB sheets. It is planned to introduce wind and snow load recording soon.

The 3D roof designer is simple, convenient and does not require special skills to use - you will need to measure the dimensions of the building, select the type of roof (hard, soft) and indicate the characteristics of the materials used. If invalid values ​​are entered, the program will stop the calculation and indicate the cell where exactly the error was made. Also on the tab of each calculator there is a detailed text instruction with a description of all fields and symbols, which are duplicated in the corresponding images for clarity.

Save time and money by using professional roof calculations on the KALK.PRO website - we have been calculating roofs for more than 5 years and have helped implement over 1000 different projects!

Why are our tools better?

Close cooperation with roof manufacturers

Highest detail in drawings and 3D models

Final report with a list of required materials

Ready-made estimate for the construction of the structure by the contractor

Technical support helps when working with the calculator

Positive feedback and a large number of completed projects

You can calculate the roof on any website and this is a fact, but you must realize that unlike other resources, our project has a long history, positive reviews, prompt technical support and regularly updates operating algorithms, eliminating the occurrence of errors. Feedback with users is established and works flawlessly; any visitor can ask a question, and KALK.PRO will try to answer it.

In addition, we would like to highlight the following:

• Constructor functionality. Our tools provide ample opportunities for designing a structure - you can configure the characteristics of any element, and if invalid values ​​are entered, the program will stop calculation and will indicate in which field the error was made.
• Cooperation with professionals. The KALK.PRO service actively cooperates with manufacturers and designers of roofing systems, so only here you can find such detailed study separate node connections.
• Ready estimate. Upon completion of the calculation, the user receives not only a standard report with the parameters of structural elements and a set of drawings, but also detailed estimate with the amount of materials needed for production.
• Graphic arts. The main advantage of our service is high-quality detailed graphics that are as close as possible to the standards technical documentation. We also provide free interactive 3D model , with which you can evaluate the advantages/disadvantages of the selected design.
• . If you experience difficulties using the calculator or have questions regarding the resulting calculation, we will look into the situation and we'll try to answer for any constructive questions 24/7.
• Personal Area. Also on our website there is a convenient Personal Area, in which the results of calculating a roof or any other structure are saved - you you'll never lose your project, and you can also download the download at any time, regardless of the time of the operation.

In the comments to each calculator and on the “Reviews” page, you can read the messages real people who use our tools. Check for yourself what users write about us.

Designer capabilities

The KALK.PRO service is a universal assistant for beginners and professional craftsmen, with the help of which you can make a truly reliable and safe design. However, it is necessary to understand that the program calculates the roof based on the entered data and does not take into account their correctness, except in exceptional cases when the structure is guaranteed to be unstable. When building a roof (especially for the first time), we recommend paying attention to the following regulations: SNiP 2.01.07-85 (SP 20.13330.2010) “Loads and impacts”, SNiP II-26-76 (SP 17.13330.2017) “Roofs”, TSN 31-308-97 “Roofs. Technical requirements and acceptance rules. Moscow region", SP 31-101-97 "Design and construction of roofs".

Currently we provide calculations for the following roofing structures:

• roof is pitched;
• gable roof (gable, gable);
• hip roof;
• The roof is hipped (hipped).

Among the main features of the designer, it is necessary to highlight ( - only on KALK.PRO):

Our professional roofing calculators are used by many professionals - if you want to use them in commercial purposes, you can remove our watermark and upload your own logo.

Roof calculation result

After entering all the initial parameters, you receive a comprehensive report, which contains a ready-made estimate for the manufacture of the structure with detailed calculations of lumber and roofing, a set of drawings of all roof elements in various projections and an adaptive 3D model. The roof area will also be automatically calculated and the angle of inclination of the slope and rafters will be available. Unlike other services, we reveal each element of the structure in detail and do not generalize the parameters so that you can use our results as guidelines for action.

Roof drawings with dimensions

Drawings are an integral element project documentation any design, since they represent a kind of “working map” for carrying out installation work. Many professionals prefer to make a roof plan with their own hands in specialized programs such as AutoCAD, ArchiCAD, etc., however, for a novice master, independent development without proper work experience usually ends before it even begins, or ends very badly. It must be remembered that any accidental mistake can lead to unexpected expenses and disruption of the structure of the entire structure.

Using the online roofing calculator KALK.PRO you eliminate errors in calculations, since the graphics are built on the basis of actually entered parameters, the correctness of which can be double-checked on an interactive 3D model. Depending on the roof structure we provide different quantities drawings - complex systems are described in more detail. For example, when calculating a bulky hip roof, the kit contains 12 design drawings with detailed description rafter system (in different projections), its elements, sheathing, places of cuts and laying roofing materials.

When creating the roofing calculator, we made every possible effort to ensure that the subsequent assembly of the structure and the layout of individual elements, in particular, was as fast and comfortable as possible.

3D model

Architectural visualization allows you to visually evaluate the planned structure in real proportions, making sure that the project is completed with high quality and without errors. However, spatial modeling is a painstaking and technically complex process that cannot be performed without special skills, and such services cost quite a lot of money from professional designers.

However, when you perform a roof calculation on our website, you receive a FREE, adaptive, dimensionally accurate 3D model that you can interact with and download in OBJ format to later load into your editing software.

How to calculate a roof using an online calculator?

To calculate the roof using the online calculator, you must correctly fill in all the available fields and click the “Calculate” button. We recommend taking measurements as accurately as possible and double-checking the entered values ​​several times in order to avoid problems in the future when assembling the structure, since you may have to re-manufacture a large number of elements.

Let us remind you that our calculators have built-in functionality to perform:

• calculation of the rafter system;
• lumber calculation;
• calculation of metal tiles;
• roof area calculation;
• calculation of the roof slope angle.

You don't need to look for other tools on the Internet or bother with manual calculations.

Detailed step-by-step text instructions with graphical annotations for each tool are provided on the corresponding calculator tabs in the Help section. We also suggest watching a short overview video of the calculation gable construction, which demonstrates the main features of the roof calculator.

• The area of ​​any classic roof can be calculated using the formulas for the area of ​​a rectangle, triangle, parallelogram, trapezoid: S = a×b, S = (a×h)/2, S = a×h, S = (a+b) × h/ 2, where a, b are the lengths of the sides, h is the height.
• The optimal roof angle for constructing a full attic is 45°.
• The angle of inclination of the roof directly depends on climatic conditions region: in snowy areas there should be steep roofs, in windy areas - flat ones.
• The angle of the roof depends on the roofing material: a rigid roof requires a steeper slope.
• The angle of the roof affects the final cost of the structure: a steep roof costs more than a flat one.
• The height of the roof is derived using the formula for the height of an isosceles triangle: H = a × sin α, where H is the height directed towards the base, a is the side (length rafter leg along the slope), α - angle at the base (applicable for two pitched roofs).
• The optimal value of the eaves overhang of the roof is in the range of 50-100 cm, but not less than the width of the blind area.
• The optimal size of the gable roof overhang should be in the range of 40-60 cm.
• Roof calculations must be made based on a load of at least 200 kg/m2.
• It is recommended to equip the roof with through ventilation holes from the eaves overhang to the ridge.
• All fastening materials (especially external ones) must be galvanized or made of stainless steel.
• All wood must be treated with fire retardants, antiseptics and antifungal agents.
• The wood moisture content for all structural elements should not exceed 18-22%.
• It is recommended to use wood of at least class 2, and for load-bearing elements - only class 1.
• The ideal roofing pie is in order from the inside out: vapor barrier, insulation, waterproofing (membrane), counter-lattice, sheathing, tiles (or other material).

Mauerlat

• The optimal size of timber for the Mauerlat is 150x150 mm, sometimes 50x150 mm is used.
• It is recommended to fasten the Mauerlat to the armored belt using studs. However, the timber must be insulated so that it does not come into direct contact with the concrete.
• The pitch of the studs for attaching the Mauerlat should not exceed 150 cm.

Rafters

• The depth of the cut should not exceed 1/3 of the width of the board (optimally 1/4).
• The recommended width and thickness of the board for most designs is 150-180 mm and 50-60 mm, respectively. The section of the board is selected depending on the pitch of the rafters and the potential load on the roof.
• The distance between the rafters should not be less than 60 cm and more than 120 cm.
• It is recommended to fix all connections in two different ways.
• To increase the reliability of bolted connections, it is recommended to use metal plates and angles.
• When the span width is more than 10 m, the mandatory installation of additional supporting structures (rails, struts, racks) is required.

Lathing

• The recommended board for sheathing is 25x100 mm, in the case of heavy roofs - 40x150 mm.
• For hard roofing materials, it is recommended to install dense sparse lathing, for soft ones - with a wider pitch, since OSB sheets will be installed on top.
• The pitch of the lathing is selected individually for each material and is specified by the manufacturer. On average, for a soft roof - 1-10 cm, ceramic tiles- 30-35 cm, metal tiles - 30-40 cm, corrugated sheets - 30-65 cm.

Insulation and insulation

• It is recommended to buy rolled thermal insulation, since slab insulation is difficult to fix (especially alone) and is more likely to crumble.
• The recommended thermal insulation thickness is 15 cm, the minimum is 10 cm.
• It is recommended to lay the vapor-waterproofing in an overlap (10-20 cm) with subsequent gluing of the joints.
• It is better to lay waterproofing in two layers.
• The permissible deflection of waterproofing is no more than 15 mm.

Online roofing calculator from KALK.PRO is the most effective method obtaining design documentation for the manufacture of a reliable roof truss system and other structures.

A properly selected and installed roof will withstand any weather conditions and will last for decades. What will the roof be like? country house, and what materials it will consist of is determined at the design stage. It is better to entrust the technical nuances of design to professionals. Before making the final choice, the future owner needs to get an idea of ​​the features various types roofs and (which is important) about the amount that the chosen structure and roofing material will cost. At this stage, a roofing calculator will help you calculate the material for a gable roof, or any other - this quick way get a detailed answer.

The calculator will help you estimate the cost of a roof in the early planning stages Source colourbox.com

Online roofing calculator

To find out the approximate cost of roofing of various types, use the following calculator:

Parameters for calculating roofs and roofing materials

Before calculating the roof of a house, the calculator will ask for certain data. One of them is the type of roof. There are two criteria by which you can determine the type of roof: the angle of the roof and the number of slopes (planes). If the angle of inclination of the roof is zero, the roof is called flat; if it is greater than zero, it is called pitched. Pitched structures, in turn, are divided into types, depending on the number of slopes. In private low-rise construction, several types of roofs are common, including:

Single-pitch. It looks rather modest, but it is the simplest in design and the least expensive to build. It is a plane supported by walls of different heights. A shed roof can be seen on a garage, shed or modern project in high-tech style. Such designs are described by a small number of parameters and are calculated on all online calculators.

Common forms of pitched structures Source remokna.in.ua

Gable (gable). The most common, classic version with two rectangular inclined planes connected by a ridge, and a centuries-old history. The vertical triangular planes between the slopes are called pediments (gables). In modern private construction, the symmetry of the slopes is an optional condition. They can have different slopes and vary in size (broken), which opens up great possibilities in the design of roofing structures. Gable roof - perfect option for the installation of an attic. For calculations on the online calculator, parameters such as the length and width of the slopes, the length of the overhangs and the height of the structure are used.

Hip (hatched). The main slopes are called hips and have the form of trapezoids, and the pediments are not located vertically, but at an angle, turning into slopes. The hip system is much more difficult to develop and install than the previous ones, but this is compensated by the increased stability of the structure. Besides, hip roof allows you to raise the ceiling for the attic, making it much more comfortable. Calculating a hip roof using an online calculator has certain subtleties (the base can be square or rectangular) and includes the angle of inclination of the slopes.

Multi-forceps. A complex structure consisting of several tongs (gable elements). Calculating such a roof is a job for an experienced architect. There are online calculators that calculate the roof area of ​​a three-gable roof, but the calculation results they give are very approximate.

The complexity of the rafter system of a multi-gable roof excludes independent planning Source yandex.ru

Attic. The slope consists of two elements: the lower, steeper one, and the upper, flatter one. This design allows you to increase usable area premises, but to calculate it using an online calculator, you will need at least a preliminary drawing and understanding of the structure of the rafter system.

Types of roofing materials

The issue of roofing material is also decided at the design stage. His choice is influenced not only by the designer’s preferences, but also by more real factors, including the amount of precipitation and wind strength in the region. The online calculator makes it possible to find out not only the quantity, but also the cost of the selected material. Typically a roof calculator is configured to calculate the following materials:

Corrugated sheet.

Metal tiles.

Soft (roll) roofing.

Seam covering(steel, aluminum or copper).

Roof tiles. Ceramic (piece), flexible (soft), cement-sand, composite.

Slate(mainly for outbuildings).

Calculator for calculating metal tiles (works with several types of roofs) Source amvita.ru

Basic elements of roofing structure

Roof country cottage- this is not only a decorative detail and business card structure, but also complex engineering system. It includes a variety of construction details, the main ones being the following:

Mauerlat. The beam that is laid on top load-bearing walls. It supports the rafter system and transfers the load from the roof to the building.

Rafters. Beams or boards located at an angle are the basis of the system. The online calculator allows you to calculate some parameters of the rafter system.

Auxiliary elements. Racks, beams, purlins and tie-downs serve to secure the rafters and strengthen the structure.

Horse. The top edge of the roof, the intersection of the slopes.

Lathing. A lattice structure onto which the roofing material is attached. Some types of roofing require a continuous deck. The sheathing parameters on the online calculator are calculated quite well, especially for roofs of simple construction.

Main structural elements of the rafter system Source kafmt.ru

On our website you can find contacts of construction companies that offer country house design services. You can communicate directly with representatives by visiting the “Low-Rise Country” exhibition of houses.

What is calculated on an online calculator: types and possibilities

Even with ready-made drawings in hand, the future owner will not always find time to carefully study them and painstaking calculations on paper. Among all the ways to solve the question of how to calculate the roof of a house, an online calculator will become the best option. There are two types of calculators that perform a certain type of calculation:

Standard roof calculator

The most common type, which allows you to obtain the basic parameters, from the angle of the rafters to the permissible load on the roof. When calculating roofing materials, as a rule, there are all popular options (all kinds of tiles, slate, ondulin and other materials). There are a wide range of calculators for calculating single-, gable- and hip roofs; There are services for calculating a hip roof or attic. The online gable or shed roof calculator is designed for simple tasks; more advanced calculation programs must be downloaded and installed on your computer.

Fragment of an online calculator for calculating a hip roof Source citymang.ru

Construction calculator

Used for calculations complex algorithms calculations, as a result you can get not only tables of numbers, but also a set of detailed drawings, as well as 3D visualization. In a construction calculator, as a rule, you can calculate any type of roof. In addition to the basic parameters, you can find out how much lumber is needed and select the optimal insulation and vapor barrier. The drawings will show the layout of the rafter system and sheathing and will allow you to check the correct angle of inclination and location of the rafters.

Online calculator device for calculating a gable roof

Rafter system calculation calculator gable roof is an easy-to-use mechanism that allows you to perform basic structural calculations. The interface of any service has a convenient and intuitive appearance and looks like a set of empty fields with an explanation. For the convenience of visitors, schematic images are placed nearby on the page. various types roofs with parameters marked on them.

Before starting calculations, you should familiarize yourself with the designation of the fields Source stankotec.ru

The user needs to enter in each field desired value(size) or select an option from the available ones. When filling out, pay attention to the dimensions - parameters can be entered in cm or mm. After filling in the fields, you press the calculation button and get the desired result in the form of the following data:

Number of roofing materials. The calculator will allow you to calculate the amount of metal tiles (or other material) for a country house with a gable, hip or other roof.

Calculation of the rafter system and roof gable. Based on the specified wall width and height to the ridge, the service will help determine the length of the rafters and the area of ​​the roof gable.

To calculate the material for the roof of a house, the “gable” program will require you to enter the following values:

Roof dimensions. There are separate fields for entering height, width (on each side) and overhang.

Rafter dimensions. The width and thickness are set, as well as the distance between the rafters and the distance to the edge of the roof.

Video description

About calculating the roof using a construction calculator in the following video:

Sheathing parameters. Enter the width and thickness of the boards, the distance between them.

Roofing material parameters. If a roofing sheet is selected, specify the height, width and overlap of the sheet.

The result of the calculation will be the following parameters:

Roof size. Height and width of the canvas, total area.

Rafters. Number and length of rafters. The volume is also calculated required material(in cubic meters).

Lathing. The calculation shows the number of rows of boards, the length of each part and the volume of the sheathing boards.

Roofing material. The area of ​​hydro- and vapor barrier is calculated. So, if roofing felt or glassine is selected as the under-roofing material, the calculator shows required amount rolls (based on the roll size), taking into account overlap.

Roofing material. The calculator determines not only the coverage area, but also the weight and required amount of the selected material.

Calculator for calculating basic elements gable roof Source stankotec.ru

Calculation of additional parameters

Many online services calculate additional, no less useful quantities:

Roof angle. The calculator will determine not only the optimal angle, but also tell you whether it is suitable for the selected roofing material. By changing the height of the rise or the width of the base, you can achieve full compliance of the angle with the material.

Calculation of wind and snow loads. For some areas, this load may be a determining factor in choosing a roof type. You will need to enter additional information into the calculator: region of construction, type of terrain, height to the ridge of the building, type of wood for the rafters.

Chimney calculation. For safe operation, it is necessary to determine the height of the chimney relative to the roof ridge. Improper design may affect stable operation heating devices and entail unplanned financial expenses (if rework is required).

When calculating the chimney, the presence of obstacles near the home is taken into account Source stroim-dom.radiomoon.ru

Limitations in using the online calculator

Roofing calculators offered by online resources are an affordable and very fast way to get necessary information. But like any mechanisms designed for the mass user, such calculators tend to use generalized calculation techniques. The worst thing is that the calculation process is hidden from the person using the calculator; It is very difficult to double-check the output information.

The calculator for calculating the roof of a house may contain certain (acceptable) variations in parameters, which, nevertheless, will affect the final result. Possible results that may contain inaccurate (approximate) values ​​include:

Determining the total amount of roofing material

Building materials are never laid joint-to-joint, so the roof surface area and roofing area will always be different. When calculating, the roof area is usually increased by 15% - this provides a margin when forming an overlap.

Video description

How to calculate a gable roof using a free calculator in the following video:

If the roof has a complex structure, the calculation also becomes more complicated, since an experienced designer simultaneously solves the additional problem of minimizing waste. For such purposes, different algorithms are used (with different accumulating errors and with different results), which of them is included in the calculator is known only to its developers.

It is believed that the calculator helps you save on the purchase of building materials. But when installing a complex-shaped roof, it often turns out that unnecessary (often expensive) materials were purchased. The opposite situation, when there is not enough material and you have to pay for an unplanned purchase and delivery, is no less annoying.

Determining the slope for a roof

Building codes require minimum slope values ​​for each roofing material. They are calculated taking into account the slope of the roof and additional indicators (wind and snow load). Specialists perform calculations according to SNiP “Loads and Impacts” standards and additional design standards. It is not possible to check what indicators the roofing calculator uses in its work.

Some calculators take into account additional parameters (the presence of roof windows and drainage systems) Source stankotec.ru

Roof calculation: how to avoid mistakes

In calculations you can go one of the following ways:

Calculate the roof manually. If you have basic knowledge of geometry, you can make preliminary calculations manually. To do this, just stock up on paper, a pencil, a regular calculator, and remember that any roof is a set of simple shapes (rectangles and triangles), the calculation of the area of ​​which is described by the simplest formulas from school course. The method does not work well if the calculations become more complicated. They take a lot of time and increase the risk of error.

Roof calculations should be carried out in online service . It should be taken into account that the values ​​are always averaged; Your planned home may require a custom solution.

Check the roof calculation manually using a calculator. Roofing online calculators are in a convenient way simulate the roof structure and find out the required amount of building materials. The calculation of simple structures is quite easy to check, but if you do not have a specialized education, confusion with coefficients and percentages is inevitable. Differing results will cause lengthy double-checks and searches for errors, as well as mistrust in the abilities of the calculator (or your own).

Checking the calculation results will require time and care Source transsib6.ru

Professional roof calculation. For preliminary calculations in order to determine the materials and design of the roof, this method is clearly not suitable. But when ordering a turnkey house, the construction company will prepare a full-fledged project, which will indicate all the calculations and estimates. In addition, specialists can make preliminary calculations for you even at the stage of discussing the project.

Conclusion

Roofing online calculator is considered to be good tool to determine the basic parameters of the future roof. But professional builders recommend using it only for a rough estimate of the quantity and cost of building materials. Also the calculator can become an indispensable tool to compare the costs of different technologies.

Calculating the roof area will not be easy for those who know how to use a tape measure and a calculator. special labor. Because the whole calculation comes down to calculating the areas of individual slopes, and if the roof of the house is not complex, but an ordinary two- or four-slope one, then calculating the area will be even easier.

There are a huge variety of types and geometric shapes of roofs of private houses, but the roof slopes themselves usually come in four geometric shapes:

• rectangle
• trapezoid
• equilateral triangle
• parallelogram

In this article we will consider the area of ​​pitched roofs only; we will not calculate the area of ​​flat and inverted roofs, because the area of ​​such roofs, in most cases, will be equal to the area of ​​the house or part of it located under this roof.

And if you learn to calculate the area of ​​each such slope separately, the formulas for which are presented below in the diagrams, then it will be very easy to calculate the total roof area.

It must be remembered that the more slopes there are on the roof, the correspondingly more difficult it will be not only in terms of construction, but also insulation of the roof, its finishing and maintenance. And during the construction itself, there will be a lot of unused scraps left, which will become unnecessary financial costs.

And so, before you take out the calculator and start counting, you need to have a roof plan at hand. If there is none, then you will have to take a tape measure, a sheet of paper, a pencil and start measuring the slopes.

What sizes of slopes are needed and what exactly to measure depends on the type of roof of a private house, which are described in detail in one of the previous articles, but here I will tell you how to correctly apply the area calculation to a specific type.

Calculation of the area of ​​a pitched roof

This is the simplest calculation that can be done without detailed plan roofs of the house.

It is necessary to measure the length C and width D of the slope.

It is not difficult to calculate the length of the slope; you need to measure the length of the building and do not forget to add roof overhangs on both sides. If for some reason it is not possible to measure the width of the slope, then you will have to measure the height of the roof B and the projection of the slope A (according to the diagram). Then we apply the Pythagorean theorem and find the width of the slope C.

Calculation of the area of ​​a gable roof of a house

Calculating such a roof, I think, will also not be difficult.

Calculation of the area of ​​a hip, half-hip and hip roof of a private house

To calculate, you need to mentally divide the hip roof into four separate slopes, as shown in the diagram, and then count each slope separately.
After breaking you should have two trapezoids and two equilateral triangles if the opposite slopes are equal.

Now let's calculate the areas of these geometric shapes using simple geometric formulas, then add up the resulting areas of the figures. This completes the calculation; as you are convinced, there is nothing complicated here.

Half hip roof area a private house is considered exactly the same, except that the triangular slopes will be smaller than those of a hip slope, and the main large slopes must be divided into two geometric shapes, a trapezoid and a rectangle, calculating their area separately.

Counting technology hip roof area at home is no different from a hip roof, we also divide the roof into four slopes, only here we should now have four equilateral triangles. We calculate the area of ​​these triangles in the same way as in the previous examples.

Calculation of the area of ​​a complex roof with numerous slopes

Such roofs, as a rule, include domed and multi-gable roofs of private houses, containing a large number of different slopes.

Although the formulas for calculations are very simple, it will still not be easy to calculate the area of ​​such a roof. The whole difficulty will lie in a large number of measurements, because each slope will have to be measured separately, and the more complex the roof, the more difficult it will be to do this. Having an accurate roof plan can make the task easier.

Technology for calculating the area of ​​a complex roof

First, we divide the roof into separate flat slopes. As was already said at the very beginning, the slopes of a complex roof can be in the form of three geometric shapes:

• equilateral triangle
• rectangle or square
• trapezoid
• parallelogram

Calculation of material for the roof of a private house

Calculating roofing material is much more difficult than calculating the area of ​​the roof itself. Sometimes the roof area is half less area ordered material. In order not to make a mistake in the calculations and not to buy too much, and it can be even worse when there is not enough material, you need to contact specialists from the company from which you will order the material. Most organizations offer this service free of charge. They will very accurately calculate the number and size of sheets and give you a layout of them on the roof.

Since roofing materials, as a rule, have a rectangular shape, and the roof slopes are not always the same, the sheets will have to be cut and adjusted to the angles of the slope. And the more complex the roof, the more unnecessary scraps you will have. It is necessary to remember, no matter what material you choose for roofing, during installation the layout of the sheets should always be at hand so that when cutting you do not cut off the wrong sheet.

Correct calculations when planning new construction or carrying out repairs can significantly save on basic and consumables. The roofing pie is one of the key components of the house. In the process of designing it, you need to know how to calculate the area of ​​the roof and be able to calculate the area of ​​each of its elements. There are special computer programs for this. But, unlike a machine calculation, manual calculation gives a more accurate result, since it allows you to take into account the nuances of further installation of roofing material.

Geometric roof shapes

The variety of geometric shapes of the top of the house determines the difficulty of calculating its area. The most common stingray shapes:

• rectangle,
• trapezoid,
• isosceles triangle,
• parallelogram.

Calculating the roof area is quite simple if it has one, two or four slopes. The more elements, the more complicated it is, the more measurements and mathematical operations need to be done.

The calculation can be done in two ways:

1. Make calculations based on the plan of the top of the cottage. Everything must be written on it linear dimensions each stingray. All that remains is to calculate the area of ​​each element and find their sum.
2. Take “live” dimensions from already finished roof and perform mathematical operations. This option is more accurate, since an absolutely exact match between the actual dimensions of the top and its plan is very rare.

In both cases, you need to pay attention to symmetrical slopes. First of all, this applies to elements of a two- or four-slope roof.

Calculation of the area of ​​​​one- and two-slope roofs

These two types are the simplest, since the slopes of a single-pitched and double-pitched roof of a house usually have a rectangular shape. Calculating their area can be done even without a detailed plan. It is also quite easy to take measurements.

Square pitched roof equal to the area of ​​one roofing rectangle:

A and B are the width and height of the slope, respectively.

These parameters can be found even without climbing to altitude. It is enough to find out the length and width of the house and add the overhangs of the top of the house to them. Next, you need to measure the height of the roofing pie itself and, using the Pythagorean theorem, calculate its length. Now you can multiply the obtained parameters and get the desired result.

Using a similar scheme, the area of ​​a gable roof is calculated. It can always be imagined as two single slopes. Accordingly, and similarly, the dimensions of this type of roof are taken. If the slopes are symmetrical, you can remove the parameters of only one of them. Knowing the length, you can calculate the area of ​​the gable roof gable, especially if it is planned to be lined with corrugated wall sheeting or siding.

The result for each roof element is determined using the same formula for the area of ​​a rectangle:

Having found out the area of ​​​​both elements, by simply summing them up one can calculate general meaning for a gable roof surface.

Calculation of the area of ​​a hip, hip and half-hip roof

These roofing options have a more complex configuration, so it takes more time to calculate the area of ​​the attic roof. They are all hipped, which means more measurements need to be taken.

A type of roofing surface composed of two trapezoids and two triangles is called hip. In most cases it opposite sides equal, and triangles are isosceles. For such a symmetrical hip roof, it is enough to calculate the value for only two adjacent elements and multiply the result by two. If the dimensions of each are different, you will have to measure the entire roof.

After the measurements have been taken, you can calculate the value for each element. For trapezoidal elements you need to use the following formula:

a – width along the lower overhang,
b – width along the ridge,
h – height.

For triangular elements the formula is used:

a – width of the slope along the lower overhang,
h – slope height.

Well, in the end, as in previous cases, the sum of the results of calculating all elements is calculated.

The half-hip design differs from the hip design in that instead of trapezoidal elements it has hexagonal, Bottom part which are in the shape of a rectangle, and the top is a trapezoid. Accordingly, the measurement process is slightly different. In a hexagonal element, you need to measure its two components separately, and also do calculations separately. The formulas can be found a little higher in this article. Again, the total area of ​​a half-hip roof is the sum of the calculation results of all its elements.

The traditional tent top is made up of four isosceles triangles. Usually it is symmetrical, so measurements can only be taken on two adjacent elements. It is only necessary to find out the height of each of the slopes and their width along the lower overhang. Next, using the formula given just above, each element is calculated and the final calculation of the hip roof is made.

Calculation of roof area with slopes with complex geometry

Multi-pitched roofs with elements with complex geometry no longer surprise anyone. These are the so-called dome and multi-gable structures. These top of house solutions are very attractive. Calculating the roof area of ​​this configuration is much more difficult than in the case of conventional four-slope options. But an accurate calculation is necessary, since there are a large number of stingrays, each of which has different shapes. The construction of such structures is quite expensive and the slightest mistake will inevitably lead to additional expenditure of money and time.

The main difficulty in the process of calculating a multi-slope roofing surface is the dimensioning stage, and the more elements in the structure, the more difficult it is to take measurements. You can't do this without climbing onto the roof. In any case, it is necessary to make a drawing of the roof and measure each slope. For each of them separately, it is necessary to calculate the area using the formulas given above, then, summing up the data obtained, find the total area of ​​the roof.

The issue of calculating the roof area must be approached very carefully. After all, roofing materials are quite expensive and errors in calculations will lead to unnecessary costs. It must be remembered that when purchasing roofing materials, you need to make a small margin, since they are laid with an overlap, and this is not taken into account when calculating the roof area.

Calculate the roof area correctly
How to calculate roof area: Rules and formulas.

How to correctly calculate the roof area

The construction of every house does not begin with digging pits or pouring foundations.

Construction begins with project development and calculations.

With a roof, everything happens in a similar way: before starting to install it, a careful calculation of the height, the size of its surface is carried out, the number of structural elements and the amount of material for the roofing cake are determined.

The strength and reliability of the roof, as well as the quantity financial resources, which will be spent on its device.

Surface calculations always start with:

• measuring the main parameters of the roof: angle of inclination, ridge length, length, width and height,
• determining the type of roofing material that is planned to be used in the future when constructing the roof.

One of the most important characteristics is the calculation coefficient, which is used in almost all formulas in calculations.

The value of this coefficient depends on the angle of inclination of the slopes on your house.

For the most popular tilt angles, the coefficient is:

• 9 degrees – coefficient. 1.01,
• 14 degrees – coefficient. 1.03,
• 18 degrees – coefficient. 1.05,
• 23 degrees – coefficient. 1.08,
• 27 degrees – coefficient. 1.12,
• 34 degrees – coefficient. 1.20.

If the shape of the roof is complex, irregular in shape, then during calculations its surface is divided into separate regular figures, the area for which is considered elementary.

And at the end, the results obtained are summarized.

Calculation procedure for a pitched roof

This is geometry from a school course.

Houses where they arrange pitched roof, are usually covered with simple materials.

And rectangle is the most common shape.

Therefore, it is enough to measure the length and width of such a rectangle and multiply them.

You should also not forget the coefficient mentioned above.

Calculating a gable roof

Calculations for the surface of a gable roof are more complicated.

And many more factors should be taken into account when making such calculations.

To begin with, we decompose all complex elements, as mentioned, into separate simple shapes: rectangles, squares, triangles.

After all, on the roof, each corner is formed only by the ceiling and the slope.

With this calculation, the length of the slope is the distance from the ridge to the eaves line.

Any roof with any number of slopes is calculated in exactly the same way.

You just need to sum up the resulting surfaces of all slopes, multiplied by the cosines of their angles.

If the roof element has a complex irregular shape, then it is also divided into several simple geometric figures and the area of ​​each of them is calculated.

Then all surfaces are summed up.

Let's look at how this is done on following example: The house measures 10 x 8 meters.

The rafters are 4.5 meters long.

Naturally, there is an overhang.

The standard overhang length is 50 cm.

First, let's calculate what surface one slope has:

S = (10 + 0.5 + 0.5) x (4.5 x 0.5) = 55 square meters.

Since the building has two such slopes, the total area will be 55 x 2 = 110 square meters.

Despite the fact that on any roof there are ventilation ducts, chimneys, dormer and attic windows, parapets, they are not subtracted from the resulting area value.

We consider the hipped roof

Then you should determine how difficult each of them is.

The simplest hipped roof has a pyramidal shape.

Therefore, when calculating its surface, the formula for a pyramid is used.

If all the slopes have the same dimensions, then it is enough to calculate the area of ​​one of them and then multiply by four.

In the case where the hipped roof has complex shape, then it is divided into simple figures and the surface of each of them is calculated separately.

After all, for such a roof, the angles of inclination can differ significantly for different slopes.

It should also be remembered that dimensions are taken not along the perimeter of the building, but along the overhangs of the eaves.

Calculating a hip roof

In order for the calculation of the hip roof to be carried out correctly, it is necessary to take into account the following:

• window size and chimney pipe size,
• the length of the slope (between the ridge and the cornice),
• parts that are not included in the roofing covering (overhangs, parapets, etc.),
• When performing the calculation, abutments are not taken into account roofing slabs, paving ledges, standing seams.

Calculating the surface of a hip roof consists of finding the area of ​​two end triangles and two trapezoids.

In any case, if the hip roof has a complex shape, it is divided into several simple figures and calculations are performed separately for each of them.

And then the calculation results for each figure are summed up.

You should know that even though a hip roof is the best roofing solution, its installation is not cheap.

Calculation for a hip roof

A hip roof is one of the varieties of a hipped roof.

So let's say this is a classic roof with four slopes.

The basis of this design is a quadrangle.

And the slopes are isosceles triangles converging at the central top point.

This type of roof is the most economical, since it has no gables at all.

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Since the slope is equal to an isosceles triangle, then:

b is the length of the base of the triangle,

S is the area of ​​the triangular slope.

Calculation of a broken attic roof

The area of ​​a sloping attic roof, despite its apparent complexity, is quite simple to calculate.

To do this, you should, first of all, make a roof plan indicating all dimensions.

The entire roof will be a set of simple geometric shapes: triangles, squares, rectangles, trapezoids.

For a square: a x a.

a is the length of the side.

b – width of the figure.

a – the base of the figure,

h – height of the figure,

a and b are the dimensions of the upper and lower bases.

After the area of ​​each of the simple figures into which the broken line is divided is calculated mansard roof, the results obtained are summarized.

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Our online calculator rafter system will calculate the gable roof:

• calculating the length of gable roof rafters
• number of rafters and pitch
• calculation of gable roof area and angle of inclination
• calculation of roof sheathing
• number of sheet roofing materials (for example, corrugated sheets, metal tiles, slate)
• vapor barrier and insulation parameters

To generate a gable roof calculator calculation, you need to measure and enter the following dimensions in the appropriate boxes:

The cross-section (thickness x width) and pitch of the rafters depend on the angle of inclination of the roof, its type, the length of the rafter leg, the maximum main loads that can be withstood, as well as the type and weight of the roof covering (and even to some extent on the width of the insulation). If you don’t know where to get the standard parameters for rafters and sheathing, our article “” will help you.

The calculator calculates the materials for the roof, based on the dimensions of the roofing sheet you entered and the calculated roof area. We recommend buying the quantity of roofing materials for the roof, boards and beams for the rafter system with a small reserve; it is always better to take the leftovers to a hardware store than to pay a lot of extra money for the delivery of a missing pair of boards.

Be careful! Depending on how accurate the values ​​you enter, the online calculator will be able to calculate the gable roof so reliably.

Simplify your calculations and save time, the program will draw the rafter plangable roof and will display the results of calculating a gable roof based on the data you entered in the form of a drawing of a gable roof in different angles review, and its interactive 3d model.

On the tab " 3 D- View"You can better see your future gable roof in a three-dimensional view. In our opinion, visualization in construction is a very necessary opportunity.

If in your project gable roof with different slopes, you should make the calculation using the calculator twice - for each slope separately.